Solve the following system:
1 answer:
Answer:
Read explanation
Step-by-step explanation:
Use elimination
Add them all up
y = 1 ( everything else cancels )
-2x + 2(1) + z = 14
3x - 2(1) + z = -5
-x +(1) - 2z = -8
simplify
-2x + z = 12
3x + z = -3
-x -2z = -9
U can't use elimation because it would turn into 0 = 0
change last equation
x + 2z = 9
x = -2z + 9
plug that in
-2(-2z+9) + z = 12
3(-2z+9) + z = -3
-(-2z+9) - 2z = -9
4z - 18 = 12
-6z + 27 + z =-3
2z - 9 - 2z = -9
simplify
4z = 30
-5z = -30
0 = 0
z = 6
y = 1
x = -3
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